some of the students

[navit]

1) Some of the students, who are all smart, participated in the test.

2) Some of the students, who are all very smart, participated in the test.

3) Some of the students, all very smart, participated in the test.

What do the parenthetical phrases modify?
Do they modify 'some of students' or 'the students'?

Gratefully,
Navi

[Alan]

Either possible, depending on sense/context.